Surfaces of revolution of frontals in the Euclidean space

DOI10.1007/s00574-019-00180-xzbMath1475.57041arXiv1812.10207OpenAlexW3097979428WikidataQ126807801 ScholiaQ126807801MaRDI QIDQ2660120

Masatomo Takahashi, Keisuke Teramoto

Publication date: 29 March 2021

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10207

zbMATH Keywords

surface of revolutionLegendre curvefrontalframed surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45) Critical points of functions and mappings on manifolds (58K05)

Related Items (1)

Caustics of pseudo-spherical surfaces in the Euclidean 3-space

Uses Software

• CandS

Cites Work

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• Existence and uniqueness for Legendre curves
• Singularities of maximal surfaces
• Surfaces of revolution with prescribed mean curvature
• Surfaces of revolution with periodic mean curvature
• The geometry of fronts
• Framed surfaces in the Euclidean space
• Singularities of flat fronts in hyperbolic space
• Behavior of Gaussian Curvature and Mean Curvature Near Non-degenerate Singular Points on Wave Fronts
• Evolutes of fronts in the Euclidean plane
• On Left Equivalence of Map Germs
• Simple Singularities of Mappings C, 0 → C² , 0
• Singular surfaces of revolution with prescribed unbounded mean curvature
• The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and "flat" spacelike surfaces
• FOCAL SURFACES OF WAVE FRONTS IN THE EUCLIDEAN 3-SPACE

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